The tame-wild principle for discriminant relations for number fields

John W. Jones; David P. Roberts

doi:10.2140/ant.2014.8.609

The tame-wild principle for discriminant relations for number fields

John W. Jones, David P. Roberts

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

Consider tuples (K₁,..., K_r)of separable algebras over a common local or global number field F, with the K_i related to each other by specified resolvent constructions. Under the assumption that all ramification is tame, simple group-theoretic calculations give best possible divisibility relations among the discriminants of K_i =F. We show that for many resolvent constructions, these divisibility relations continue to hold even in the presence of wild ramification.

Original language	English (US)
Pages (from-to)	609-645
Number of pages	37
Journal	Algebra and Number Theory
Volume	8
Issue number	3
DOIs	https://doi.org/10.2140/ant.2014.8.609
State	Published - 2014

Keywords

Discriminant
Number field
Ramification

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The tame-wild principle for discriminant relations for number fields

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